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Finding the Fourth Proportional to 2,326.49, 3,488.37 and 939.87

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Solution

The fourth proportional to 2,326.49, 3,488.37 and 939.87 is: 1,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.49 : 3,488.37 = 939.87 : x
  2. Step 2: Convert to fraction form
    2,326.49/3,488.37 = 939.87/x
  3. Step 3: Cross multiply
    2,326.49x = 3,488.37 × 939.87
  4. Step 4: Simplify right side
    2,326.49x = 3,278,614.31
  5. Step 5: Solve for x
    x = 3,278,614.31/2,326.49
  6. Step 6: Final answer
    x = 1,409.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.